Askey-Wilson polynomials constitute a family of orthogonal polynomials at the top of Askey scheme for orthogonal polynomials. They are a special case of Macdonald polynomials.
Literature
Introduced in
Richard Askey, James Wilson, A set of hypergeometric orthogonal polynomials, SIAM J. Math. Anal. 13 (1982), no. 4, 651–655, doi
Richard Askey, James Wilson, A recurrence relation generalizing those of Apéry, J. Austral. Math. Soc. Ser. A 36 (1984), no. 2, 267–278
Richard Askey, James Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. 54 (1985), no. 319, iv+55 pp. gBooksdoi
Masatoshi Noumi, J.V. Stokman, Askey–Wilson polynomials: an affine Hecke algebra approach, in Laredo Lectures on Orthogonal Polynomials and Special Functions (R.Alvarez-Nodarse, F.Marcellan and W.Van Assche, Eds), pp. 111–144, Nova Science Publishers, 2004. math.QA/0001033
Created on August 2, 2024 at 20:30:32.
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